SPACE, TIME AND FUNDAMENTAL INTERACTIONS

COMMON \(\alpha\)-FIXED POINT RESULTS FOR FUZZY ENRICHED \(\phi-\varphi\) CONTRACTION IN \({\cal{F}}\)-METRIC SPACES WITH APPLICATION TO FUZZY INTEGRO-DIFFERENTIAL EQUATIONS

Rathour L., Singh V., Raji M., Danjuma Y.J., Ibrahim A., Mishra L.N., Mishra V.N.

The paper aims to introduce the notion of \({\cal{F}}\)-metric spaces and establish some common \(\alpha\)-fixed point results for fuzzy enriched \(\phi-\varphi\) contraction in a complete \({\cal{F}}\)-metric spaces. These additions broaden the body of knowledge in the existing framework on fuzzy mappings and fixed point theory. Through illustrative examples, we demonstrate the practical applicability of our theoretical results. Also, we explore the existence of solution for fuzzy initial value problem of integro-differential equations in the context of generalized Hukuhara derivative, as an application.